Mathematische Annalen最新文献_第10页

A biharmonic analogue of the Alt–Caffarelli problem 阿尔特-卡法雷利问题的双谐波类似物

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-05-06 DOI: 10.1007/s00208-024-02883-z

Hans-Christoph Grunau, Marius Müller

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Flux and symmetry effects on quantum tunneling 量子隧道的通量和对称效应

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-05-05 DOI: 10.1007/s00208-024-02874-0

Bernard Helffer, Ayman Kachmar, Mikael Persson Sundqvist

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$$L^p$$ bounds for Stein’s spherical maximal operators 斯坦因球面最大算子的 $L^p$$ 边界

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-05-04 DOI: 10.1007/s00208-024-02884-y

Naijia Liu, Minxing Shen, Liang Song, Lixin Yan

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Studying Hilbert’s 10th problem via explicit elliptic curves 通过显式椭圆曲线研究希尔伯特第 10 个问题

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-05-04 DOI: 10.1007/s00208-024-02879-9

Debanjana Kundu, Antonio Lei, Florian Sprung

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Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise 受时空白噪声导数扰动的表面准地转方程

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-05-03 DOI: 10.1007/s00208-024-02881-1

Martina Hofmanová, Xiaoyutao Luo, Rongchan Zhu, Xiangchan Zhu

{"title":"Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise","authors":"Martina Hofmanová, Xiaoyutao Luo, Rongchan Zhu, Xiangchan Zhu","doi":"10.1007/s00208-024-02881-1","DOIUrl":"https://doi.org/10.1007/s00208-024-02881-1","url":null,"abstract":"We consider a family of singular surface quasi-geostrophic equations $$begin{aligned} partial _{t}theta +ucdot nabla theta =-nu (-Delta )^{gamma /2}theta +(-Delta )^{alpha /2}xi ,qquad u=nabla ^{perp }(-Delta )^{-1/2}theta , end{aligned}$$on ([0,infty )times {mathbb {T}}^{2}), where (nu geqslant 0), (gamma in [0,3/2)), (alpha in [0,1/4)) and (xi ) is a space-time white noise. For the first time, we establish the existence of infinitely many non-Gaussian<ul>\u0000<li>\u0000probabilistically strong solutions for every initial condition in (C^{eta }), (eta >1/2);\u0000</li>\u0000<li>\u0000ergodic stationary solutions.\u0000</li>\u0000</ul> The result presents a single approach applicable in the subcritical, critical as well as supercritical regime in the sense of Hairer (Invent Math 198(2):269–504, 2014). It also applies in the particular setting (alpha =gamma /2) which formally possesses a Gaussian invariant measure. In our proof, we first introduce a modified Da Prato–Debussche trick which, on the one hand, permits to convert irregularity in time into irregularity in space and, on the other hand, increases the regularity of the linear solution. Second, we develop a convex integration iteration for the corresponding nonlinear equation which yields non-unique non-Gaussian solutions satisfying powerful global-in-time estimates and generating stationary as well as ergodic stationary solutions.","PeriodicalId":18304,"journal":{"name":"Mathematische Annalen","volume":"116 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140886773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Correction to: Positivity of anticanonical divisor in algebraic fibre spaces 更正：代数纤维空间中反偶函数除数的正相关性

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-05-03 DOI: 10.1007/s00208-024-02846-4

Chi-Kang Chang

引用次数: 0

Localizations for quiver Hecke algebras III 矢量赫克代数的局部化 III

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-05-03 DOI: 10.1007/s00208-024-02875-z

Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park

引用次数: 0

Steinberg’s cross-section of Newton strata 斯坦伯格的牛顿地层剖面图

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-05-02 DOI: 10.1007/s00208-024-02872-2

Sian Nie

引用次数: 0

Normalized solutions to Schrödinger equations with potential and inhomogeneous nonlinearities on large smooth domains 大光滑域上具有势和非均质非线性的薛定谔方程的归一化解

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-04-30 DOI: 10.1007/s00208-024-02857-1

Thomas Bartsch, Shijie Qi, Wenming Zou

{"title":"Normalized solutions to Schrödinger equations with potential and inhomogeneous nonlinearities on large smooth domains","authors":"Thomas Bartsch, Shijie Qi, Wenming Zou","doi":"10.1007/s00208-024-02857-1","DOIUrl":"https://doi.org/10.1007/s00208-024-02857-1","url":null,"abstract":"The paper addresses an open problem raised in Bartsch et al. (Commun Partial Differ Equ 46(9):1729–1756, 2021) on the existence of normalized solutions to Schrödinger equations with potentials and inhomogeneous nonlinearities. We consider the problem $$begin{aligned} -Delta u+V(x)u+lambda u = |u|^{q-2}u+beta |u|^{p-2}u, quad Vert uVert ^2_2=int |u|^2dx = alpha end{aligned}$$both on ({mathbb R}^N) as well as on domains (rOmega ) where (Omega subset {mathbb R}^N) is a bounded smooth star-shaped domain and (r>0) is large. The exponents satisfy (2<p<2+frac{4}{N}<q<2^*=frac{2N}{N-2}), so that the nonlinearity is a combination of a mass subcritical and a mass supercritical term. Nonlinear Schrödinger equations with combined power-type nonlinearities have been investigated first by Tao et al. (Commun Partial Differ Equ 32(7-9):1281-1343, 2007). Due to the presence of the potential a by now standard approach based on the Pohozaev identity cannot be used. We develop a robust method to study the existence of normalized solutions of nonlinear Schrödinger equations with potential and find conditions on V so that normalized solutions exist. Our results are new even in the case (beta =0).","PeriodicalId":18304,"journal":{"name":"Mathematische Annalen","volume":"116 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140886776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Asymptotics of the solution to the perfect conductivity problem with p-Laplacian 具有 p 拉普拉卡矩的完美传导性问题解的渐近性

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-04-30 DOI: 10.1007/s00208-024-02876-y

Hongjie Dong, Zhuolun Yang, Hanye Zhu

引用次数: 0